Effective edge state dynamics in the fractional quantum Hall effect

被引：9

作者：

Fern, R. ^{[1
]}

Bondesan, R. ^{[1
]}

Simon, S. H. ^{[1
]}

机构：

[1] Univ Oxford, Rudolf Peierls Ctr Theoret Phys, Oxford OX1 3PU, England

来源：

PHYSICAL REVIEW B | 2018年 / 98卷 / 15期

基金：

英国工程与自然科学研究理事会;

关键词：

LUTTINGER LIQUID; EXCITATIONS;

D O I：

10.1103/PhysRevB.98.155321

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

We consider the behavior of quantum Hall edges away from the Luttinger liquid fixed point that occurs in the low-energy, large-system limit. Using the close links between quantum Hall wave functions and conformal field theories, we construct effective Hamiltonians from general principles and then constrain their forms by considering the effect of bulk symmetries on the properties of the edge. In examining the effect of bulk interactions on this edge, we find remarkable simplifications to these effective theories which allow for a very accurate description of the low-energy physics of quantum Hall edges relatively far away from the Luttinger liquid fixed point, and which apply to small systems and higher energies.

引用

页数：20

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